A Study of Equivalence of SUSY Theories using Adinkras and Super Virasoro Algebras

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dc.contributor.advisorGates, Sylvester Jen_US
dc.contributor.authorChappell, Isaac Samuelen_US
dc.contributor.departmentPhysicsen_US
dc.contributor.publisherDigital Repository at the University of Marylanden_US
dc.contributor.publisherUniversity of Maryland (College Park, Md.)en_US
dc.date.accessioned2013-02-07T07:16:34Z
dc.date.available2013-02-07T07:16:34Z
dc.date.issued2012en_US
dc.description.abstractSupersymmetry (SUSY) theories describe a wide number of quantum field theories with supersymmetric particles interacting. By using two methods, Adinkras and Super Virasoro algebras (SVAs), more information is gained about SUSY theories: (a.) when two representation may be considered equivalent, that is, describing the same physics, and (b.) the derivation of OPE's that do not rely on Wick rotations. Adinkras [1] are objects that encode important information about the theory in graphs. These graphs can be translated into matrices through what is now called a Garden Algebra. In a specfiic example, (d=4, N=4 SUSY theories,) it is found that there are six classes of SUSY theories through studying the Adinkras by one definition. However, using a criterion that is motivated by physical considerations of four dimensional field theories, this number is reduced to only three. Super Virasoro Algebras are close relatives of Super Conformal Algebras that contain a Lie algebra. They can be used to find Operator Product Expansions which are related to two-point correlation functions. By comparison of two different realizations of SVAs (the Geometrically Realization GR and the one developed by Hasiewicz, Thielemans, Troost [2],) we show that one is contained inside the other which allows some new OPEs to be calculated.en_US
dc.identifier.urihttp://hdl.handle.net/1903/13647
dc.subject.pqcontrolledTheoretical physicsen_US
dc.subject.pquncontrolledAdinkrasen_US
dc.subject.pquncontrolledGarden Algebraen_US
dc.subject.pquncontrolledOPEen_US
dc.subject.pquncontrolledSUSYen_US
dc.subject.pquncontrolledVirasoro Algebraen_US
dc.titleA Study of Equivalence of SUSY Theories using Adinkras and Super Virasoro Algebrasen_US
dc.typeDissertationen_US

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